Rise is the change between the y-coordinates of any two points along a line in the xy-plane. True or False
The rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.
What are rise and run?In a graph, the terms "rise" and "run" refer to the vertical and horizontal changes between two points on a line, respectively.
Here,
The rise of a line in the xy-plane is the vertical change between two points on the line, which is measured as the difference between their y-coordinates. The rise is sometimes also called the vertical distance or the vertical change.
Thus, the rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.
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PLEASE HELP!!!!
Solve for when f(x)=g(x)
f(x)=5x
g(x)=x^2-10x+1
Answer:
[tex]\large\boxed{x=\dfrac{15-\sqrt{221}}{2}\ or\ x=\dfrac{15+\sqrt{221}}{2}}[/tex]
Step-by-step explanation:
[tex]f(x)=5x\\\\g(x)=x^2-10x+1\\\\f(x)=g(x)\to5x=x^2-10x+1\qquad\text{subtract 5x from both sides}\\\\x^2-15x+1=0\\\\\text{Use the quadratic formula}:\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=-15,\ c=1\\\\b^2-4ac=(-15)^2-4(1)(1)=225-4=221\\\\x=\dfrac{-(-15)\pm\sqrt{221}}{2(1)}=\dfrac{15\pm\sqrt{221}}{2}[/tex]
Don’t focus on the bottom one just help me find the area to both these questions. Do both plz.
For triangles, the formula to find area is base*height/2. So just plug the numbers in to get 11.5*6.7/2=38.525 meters squared.
For a rhombus, the area formula is just base*height, resulting in 4.75*9.2=43.7 meters squared
What is the point-slope form of a line with slope -5 that contains the point
(2,-1)?
O A. y-1 = 5(x+2)
O B. y+1 =-5(x-2)
O C. y+ 1 = 5(x + 2)
O D. y-1 = -5(x-2)
Answer:
y + 1 - 5(x - 2)
Step-by-step explanation:
Borrow (2, -1): Substitute 2 for x and -1 for y, and -5 for m in y = mx + b:
-1 = -5(2) + b. Then b = 9, and the desired equation in point-slope form is:
y - (-1) = -5(x - 2), or
y + 1 - 5(x - 2)
The point-slope form of a line with slope -5 that contains the point
(2,-1) is y+1=-5(x-2). Therefore, option B is the correct answer.
What is the point slope form?The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.
The equation of the point slope form is: (y - y₁) = m(x - x₁)
where, (x, y) is a random point on the line and m is the slope of the line.
Given that, a line with slope -5 that contains the point (2, -1).
Substitute m=-5 and (x₁, y₁)=(2, -1) in the point slope form, we get
(y-(-1))=-5(x-2)
y+1=-5(x-2)
y+1=-5x+10
5x+y-9=0
Therefore, option B is the correct answer.
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There are many cylinders with a height of 18 meters. Let r represent the radius in meters and V represent the volume in cubic meters.
a. Write an simplified equation (plugging in all know quantities) in terms of (meaning do not
multiply by 3.14 when you simplify) that represents the volume as a function of the radius.
The equation would be: [tex]V(r)=2\pi r \cdot 18[/tex]
Volume V is represented as a function of radius r. Height of a cylinder h is multiplied by the circumference of the cylinder 2πr to result in volume.
Answer:
18pir^2
Step-by-step explanation:
Solve px+12=17 for X
Answer:
[tex]\large\boxed{B.\ x=\dfrac{5}{p}}[/tex]
Step-by-step explanation:
[tex]px+12=17\qquad\text{subtract 12 from both sides}\\\\px+12-12=17-12\\\\px=5\qquad\text{divide both sides by}\ p\neq0\\\\\dfrac{px}{p}=\dfrac{5}{p}\\\\x=\dfrac{5}{p}[/tex]
Answer:
b x = 5/p
Step-by-step explanation:
px+12=17
Subtract 12 from each side
px+12-12=17-12
px = 5
Divide by p
px/p = 5/p
x = 5/p
A bag contains 2 red marbles and 4 green marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is green and the second one is red?
Answer:
Step-by-step explanation:
Red = 2
Green = 4
P(G) = 4/6
P(R) = 2/5 (remember that 1 green marble is green. The total left is 5 so the 5 is not a typo)
P(G then R) = 4/6 * 2/5
P(G then R) = 2/3 * 2/5
P(G then R) = 4/15
i am a solution. My number cubed is equal to -64. What number am i?
Answer:
the answer is 4. 4*4 is 16 16*4 is 64
Step-by-step explanation:
-0.75-(-2/5)+0.4+(-3/4)
-0.75-(-2/5)+0.4+(-3/4) = -0.7 simplified, how I got this answer can be found below in 16 steps.
1 - First thing we want to do is remove the parentheses.
-0.75 - (-2/5) + 0.4 - 3/4
2 - Then we simplify, multiply -1 by -1.
-0.75 + 1 (2/5) + 0.4 - 3/4
3 - Then multiply 2/5 by 1.
-0.75 + 2/5 + 0.4 - 3/4
4 - Then we want to write - 0.75/1 as a fraction with a common denominator, we do this by multiplying by 5/5.
-0.75/1 * 5/5 + 2/5 + 0.4 - 3/4
5 - Then we write each expression with a common denominator of 5, we multiply each one by a factor of one.
-0.75 * 5/1*5 + 2/5 + 0.4 - 3/4
6 - Then we multiply 5 by 1.
-0.75 * 5 / 5 + 2/5 + 0.4 - 3/4
7 - Then we combine the numerators over the common denominator.
-0.75*5+2/5+0.4-3/4
8 - We multiply -0.75 by 5.
-3.75 + 2/5 + 0.4 - 3/4
9 - Then we add -3.75 and 2.
-1.75/5+0.4-3/4
10 - And then we divide -1.75 by 5.
-0.35 + 0.4 - 3/4
11 - Then add -0.35 and 0.4.
0.05 - 3/4
12 - We then write 0.05/1 as a fraction with a common denominator, we do this via multiplying it by 4/4.
0.05/1 * 4/4 - 3/4
13 - Then we write each expression with a common denominator of 4, through multiplying each by a factor of 1.
0.05 * 4/4 - 3/4
14 - We combine the numerators over the common denominator.
0.05 * 4 - 3 / 4
15 - We simplify.
-2.8 / 4
16 - Then we divide -2.8 / 4
The final answer is -0.7
For every increase one on the ritcher scale an earthquake is 10 times more powerful which of the following models the situation
A.Linear function with a negative rate of change
B. Linear function with a positive rate of change
C. Exponential decay function
D.Exponential growth function
Answer:
D. Exponential Growth.
Step-by-step explanation:
Suppose the equation is y = 10^x which is an exponential function.
When x = 1 , y = 10, when x = 2, y = 10^2 = 100, when x = 3, y = 10^3 = 1000 which is 10 times more powerful for each unit increase of x.
The answer is Exponential growth.
Consider the ordered pairs (1,4), (-1,2), and (0,3). Which of the four equations below could have been used to generate these three ordered pairs?
Select one:
a. y = x + 3
b. y = -x + 3
c. y = -x - 6
d. y = -x - 3
Answer:
a. y = x + 3
Step-by-step explanation:
All three ordered pairs satisfy the first equation.
___
If you want to look into it a little further, you can notice that if you sort the ordered pairs by their x-values, you get ...
(-1, 2), (0, 3), (1, 4)
That is, the y-values increase (by 1) as the x-values increase (by 1).
All of the other answer choices have -1 as the coefficient for x, which means the y-values will decrease as x increases. None of these choices (b–d) is viable.
Answer:
A. Y=X+3
Step-by-step explanation:
y = 2x – 1 and y = x + 3 ?
A.)(4, 7)
B.)(7, 4)
C.)(–7, –4)
D.)infinite solutions
Answer:
A. (4, 7)
Step-by-step explanation:
y = 2x - 1
y = x + 3
y = x + 3
2x - 1 = x + 3
2x = x + 4
x = 4
y = 2x - 1
y = 2(4) - 1
y = 8 - 1
y = 7
i hope this helps !!
Circle Y has a center at (2,3) and a radius of 4. Circle Z has a center at (2,−3) and a radius of 10. What is the scale factor of all radii of circle Y to all radii of circle Z?
Final answer:
The scale factor of all radii of circle Y to all radii of circle Z is 0.4.
Explanation:
To find the scale factor of all radii of circle Y to all radii of circle Z, we can compare their radii.
Circle Y:
Center: (2,3)
Radius: 4
Circle Z:
Center: (2,-3)
Radius: 10
The scale factor is determined by comparing the radii of the two circles. The radius of circle Y is 4 and the radius of circle Z is 10. To find the scale factor, we divide the radius of circle Y by the radius of circle Z: 4/10 = 0.4.
Therefore, the scale factor of all radii of circle Y to all radii of circle Z is 0.4.
For the data set 7,5,10,11,12, the mean,x,is 9. What is the standard deviation
Answer:
It is 2.91547 You could round if you want.
Step-by-step explanation:
Answer: 2.61
Step-by-step explanation:
Given data (x) : 7,5,10,11,12
Mean of the data : [tex]\overline{x}=9[/tex]
Number of data values : n= 5
Now, [tex]\sum (x-\overline{x})^2=(7-9)^2+(5-9)^2+(10-9)^2+(11-9)^2+(12-9)^2[/tex]
i.e. [tex]\sum (x-\overline{x})^2=34[/tex]
Now, the standard deviation for this data is given by :-
[tex]\sigma=\sqrt{\dfrac{\sum (x-\overline{x})^2}{n}}\\\\\sigma=\sqrt{\dfrac{34}{5}}=2.60768096208\approx2.61[/tex]
a(3x-8)=b-18x
a=?
b=?
Answer:
a(3x-8)=0
a=0 and b=8/3
Step-by-step explanation:
This second line is not necessarily true. We could have a=0 OR x=8/3. They don't both have to be 0.
Use the substitution method to solve the system of equations
Answer:
C. (5,-2)
Step-by-step explanation:
3x+7y=1
substitute x-7 for y
3x+7(x-7)=1
3x+7x-49=1
10x-49=1
10x= 50
x=5
now substitute x=5 in the other equation
y=5-7
y=-2
A company that makes boxes finds out that 3 out of the 20 boxes are damaged. What percent of the boxes are damaged?
Answer:
15%
Step-by-step explanation:
3 of the 20 boxes are damaged
3/20 = x/100
Multiply the top and bottom by 5
3/20 *5/5 = 15/100
15%
1. The circumference of a circle with diameter of 8 feet is ____?
2. The circumference of a circle with a diameter of 13 centimeters is ____?
3. The circumference of a circle with a radius of 3.5 miles is ____?
11yd and 3yd and 3yd
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Answer:
if you are multiplying it would be 99
Step-by-step explanation:
multiply 11x3 then musliply that by three
Step-by-step explanation:
find the slope ..................
My work is shown up above.
I think this is the answer.
We can use the points (-2, 3) and (0, 4) to solve.
Slope formula: y2-y1/x2-x1
= 4-3/0-(-2)
= 1/2 (Answer)
Hope This Helped! Good Luck!
Bea's uncle said that if you subtract 15 from 3 times his age you would get 60. Be a wrote this equation: 3x- 15= 60. how old is Bea's uncle? PLZ I NEED THIS ANSWER RIGHT AWAY ITSFOR A TEST AND I NEED HELPPPP
Answer: Bea's uncle is 25 years old.
Step-by-step explanation:
Given the equation [tex]3x- 15= 60[/tex], we can say that the variable "x" represents the age of Bea's uncle. Then to find his age, we need to solve for "x":
We must add 15 to both sides of the equation:
[tex]3x- 15+(15)= 60+(15)\\3x=75[/tex]
Now we need to divide both sides of the equation by 3:
[tex]\frac{3x}{3}=\frac{75}{3}\\\\x=25[/tex]
Therefore, we can conclude that Bea's uncle is 25 years old.
what is the sum of the interior angle measures of a convex irregular pentagon?
Answer:
540 degrees.
Step-by-step explanation:
The formula for the sum of the interior angles is
S(n) = 180(n - 2) where n = the number of sides.
For a pentagon, with 5 sides it is 180(5 - 2)
= 3*180
= 540 degrees.
Answer:
I think the answer is 540?
Step-by-step explanation:
what is the domain of the function y=ln(12-4x/5)
[tex]\ln x[/tex] has a domain of [tex]x>0[/tex], so [tex]\ln\left(12-\dfrac{4x}5\right)[/tex] has a domain of
[tex]12-\dfrac{4x}5>0\implies12>\dfrac{4x}5\implies x<15[/tex]
Answer:
The domain of the function is [tex]x<3[/tex]
Step-by-step explanation:
Given : Function [tex]y=\ln (\frac{12-4x}{5})[/tex]
To find : What is the domain of the function ?
Solution :
Domain is defined as the set of possible values which define the function.
We know that, log negative is not defined.
So, we will get the inequality in the function.
[tex]\ln (\frac{12-4x}{5})>0[/tex]
[tex]\frac{12-4x}{5}>0[/tex]
[tex]12-4x>0[/tex]
[tex]-4x>-12[/tex]
[tex]x<3[/tex]
Therefore, The domain of the function is [tex]x<3[/tex]
Ruben worked in a union motorcycle factory for 20 years before returning to school to become a paramedic instead. He is 45 now. He has a pension from his previous employer, which would pay him $1500/month after his retirement at 65. Assuming he will live to 80 (which is slightly higher than the life expectancy for an American man) he would earn $270000 over 15 years. The company has stopped offering pensions and wants to buy out his pension today. Should Ruben accept a buyout offer of $125,000? Assume that he could invest the money at an interest rate of 3% with a monthly compounding.
Answer:
Ruben needs a new job
Step-by-step explanation:
in the figure AB is parallel to CD. BC is parallel to AE. angle ABD measures (3x+4). angle BCD measures (6x-8). angle EDF measures (7x-20). what is the degree measure of angle BCD?
Guys I really need ur help. my test is tomorrow and I've been stuck on this question since yesterday. I literally am about to have a mental breakdown
Answer:
The measure of angle BCD is [tex]68.5\°[/tex]
Step-by-step explanation:
step 1
Find the value of x
we know that
[tex]m<ABD+m<BCD+m<EDF=180\°[/tex] -----> form a straight line
substitute the values
[tex](3x+4)\°+(6x-8)\°+(7x-20)\°=180\°[/tex]
[tex](16x-24)\°=180\°[/tex]
[tex]16x=180\°+24\°[/tex]
[tex]16x=204\°[/tex]
[tex]x=12.75\°[/tex]
step 2
Find the measure of angle BCD
[tex]m<BCD=(6x-8)[/tex]
substitute the value of x
[tex]m<BCD=6(12.75)-8=68.5\°[/tex]
Answer:
Step-by-step explanation:
great job!
what is the range of function of x graphed above
Answer:
y is greater then -5
but less then 3
letter answer
H
Answer:
(-5, 3)
Step-by-step explanation:
The smallest value y can have is just above -5 and the largest is just below 3. Thus, the range of this function is (-5, 3). This does not include -5 or 3.
97) If the average of 3a and 4b is less than 50 and a is twice b, what
is the largest integer value of a?
a) 8
b) 9
c)10
d)11
The average of [tex]3a[/tex] and [tex]2b[/tex] satisfies
[tex]\dfrac{3a+4b}2<50[/tex]
Then
[tex]a=2b\implies\dfrac{3(2b)+4b}2=5b<50\implies b<10[/tex]
[tex]a=2b[/tex], so if [tex]a[/tex] must be an integer, then the largest integer value it can take on is 19 if [tex]b[/tex] can be a rational number (in which case [tex]b=9.5[/tex]) or 18 if [tex]b[/tex] must also be an integer.
Given that none of the provided answer choices lists 18 or 19, I'd bet there's a typo and you're supposed to find the maximum integer value of [tex]b[/tex], in which case the answer would be B as the largest integer value would be 9.
PLEASE BE QUICK!!! 15 POINTS!!! What is the area of the triangle QRS?
_______ square units
Answer: 7 square units
Answer: 7
Step-by-step explanation:
The square root of a number is 6. What is the other square root of this number?
Answer:
-6
Step-by-step explanation:
If the square root of a number is 6, then the number must be 36 (6*6=36)
However, negatives*negatives also equal positives, so
-6*-6 also =36
hence, your answer should be -6
Final answer:
The other square root of a number whose one square root is 6 is -6, because both 6 and -6 squared give the positive number 36.
Explanation:
The question you're asking pertains to finding square roots of a number. Given that one square root of a number is 6, the other square root would also be 6, but with an opposite sign, so it's -6. This is because when either 6 or -6 is squared (multiplied by itself), the result is 36. So, the number you're looking for is 36, and it has two square roots: 6 and -6. This is because the equation x² = √x holds true for both positive and negative values of x that yield the same positive result when squared.
To find the other square root of the number, we need to consider the fact that a positive number has two square roots - one positive and one negative.
Since the given square root is positive and equal to 6, the other square root would be its negative counterpart, which is -6.
Please Help!
The base of a triangle is 3 inches shorter than its height. The area of the triangle is 77 square inches. Find the base and the height
Explain Step-by-step please
I need the work
Answer:
The base is [tex]11\ in[/tex] and the height is [tex]14\ in[/tex]
Step-by-step explanation:
we know that
The area of the triangle is equal to
[tex]A=\frac{1}{2}(b)(h)[/tex]
where
b is the base of triangle
h is the height of triangle
In this problem
[tex]b=h-3[/tex] ----> equation A
[tex]A=77\ in^{2}[/tex]
so
[tex]77=\frac{1}{2}(b)(h)[/tex]
[tex]154=(b)(h)[/tex] -----> equation B
Substitute equation A in equation B
[tex]154=(h-3)(h)[/tex]
[tex]h^{2}-3h-154=0[/tex]
Solve the quadratic equation by graphing
The solution is [tex]h=14\ in[/tex]
see the attached figure
Find the base b
[tex]b=14-3=11\ in[/tex]
Can someone please help me out with this question
Answer:
z= 31
Step-by-step explanation:
GF=DE so....... z+31=2z
-z -z
31 = z